Choke Bean Sizing

Choke Bean Sizing — Calculation Sheet

Choke Bean Sizing

Required surface choke size from target liquid rate, GLR, and wellhead pressure

MethodGilbert-type critical-flow correlation
ReferenceGilbert (1954) et al.
Inputs
Units
Result
Nearby standard choke sizesResulting P1
P1 = C × GLRm × q ÷ Sn
S = (C × GLRm × q ÷ P1)1/n
Correlation
Liquid rate, q
GLR
Target P1
Downstream P2
Result — exact required choke
Nearest standard choke & actual P1
Critical flow check
Reference & methodology

Method: Gilbert-type empirical correlations for two-phase critical (sonic) flow through a surface wellhead choke, of the general form P1 = C·GLRm·q/Sn, where P1 is upstream (wellhead) pressure in psia, q is gross liquid rate in STB/d, GLR is producing gas-liquid ratio in scf/STB, and S is choke size in 64ths of an inch. The calculator solves this for S given a target P1.

Coefficients: C, m, and n are independently fitted constants from field production data, not derivations of a single physical model — Gilbert (1954, Ten Section Field, California), Baxendell (1957) and Ros (1960) (Lake Maracaibo), Achong (1961) (Lake Maracaibo), and Pilehvari (1980). Values used here (C, m, n): Gilbert (10, 0.546, 1.89), Ros (17.4, 0.5, 2.0), Baxendell (9.56, 0.546, 1.93), Achong (3.82, 0.65, 1.88), Pilehvari (46.67, 0.313, 2.11) — per Guo, B., Petroleum Production Engineering, A Computer-Assisted Approach, Table 5.3, cross-checked against an independent secondary source.

Critical flow requirement: these correlations assume sonic (critical) flow, where the downstream pressure has no effect on the upstream pressure or rate. This requires the downstream-to-upstream pressure ratio to stay below a critical value — commonly cited in the 0.5–0.7 range for oil/gas mixtures. If your actual P2/P1 exceeds that, flow is subcritical and none of these correlations apply; a subcritical two-phase model (e.g., Ashford, Sachdeva) is needed instead.

Scope and limitations: These are empirical curve fits to specific fields (California, Lake Maracaibo) and can disagree with each other, and with your well, by 30% or more — there is no single authoritative standard for multiphase choke flow. Validity is generally cited for GLR of roughly 300–50,000 scf/STB and choke sizes of 8/64–64/64 in. Actual choke beans come in discrete standard sizes (commonly in 2/64 in. steps), so the calculator also shows the nearest standard sizes and their actual resulting pressure. Always confirm against field-calibrated choke performance data for your specific well and separator system where available.

For preliminary screening only. Not a substitute for a certified engineering assessment or field-calibrated choke performance data.

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